GCD of 161, 497, 364, 177 Calculator

Given Input numbers are 161, 497, 364, 177

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 161, 497, 364, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 497, 364, 177 is 1.

Therefore, GCD of numbers 161, 497, 364, 177 is 1

Given Input Data is 161, 497, 364, 177

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 161 is 7 x 23

Prime Factorization of 497 is 7 x 71

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 177 is 3 x 59

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(161, 497) = 11431

GCD(161, 497) = ( 161 x 497 ) / 11431

GCD(161, 497) = 80017 / 11431

GCD(161, 497) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 364

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 364) = 364

GCD(7, 364) = ( 7 x 364 ) / 364

GCD(7, 364) = 2548 / 364

GCD(7, 364) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 177

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 177) = 1239

GCD(7, 177) = ( 7 x 177 ) / 1239

GCD(7, 177) = 1239 / 1239

GCD(7, 177) = 1

GCD of 161, 497, 364, 177 is 1

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1. What is the GCD of 161, 497, 364, 177?

GCD of 161, 497, 364, 177 is 1

2. Where do I get the detailed procedure to find GCD of 161, 497, 364, 177?

You can find a detailed procedure to find GCD of 161, 497, 364, 177 on our page.

3. How to find GCD of 161, 497, 364, 177 on a calculator?

You can find the GCD of 161, 497, 364, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.